/// Round a number to specified digits
///
/// @param  {Number} $number - A number to round
/// @param  {Number} $digits [0] - Digits to output
/// @param  {String} $mode [round] - (round|ceil|floor) How to round a number
/// @return {Number} - A rounded number
/// @example SCSS
///     decimal-round(0.333)    => 0
///     decimal-round(0.333, 1) => 0.3
///     decimal-round(0.333, 2) => 0.33
///     decimal-round(0.666)    => 1
///     decimal-round(0.666, 1) => 0.7
///     decimal-round(0.666, 2) => 0.67
/// @author terkel
/// @link https://gist.github.com/terkel/4373420

@function decimal-round ($number, $digits: 0, $mode: round) {
    $n: 1;
    // $number must be a number
    @if type-of($number) != number {
        @warn '#{ $number } is not a number.';
        @return $number;
    }
    // $digits must be a unitless number
    @if type-of($digits) != number {
        @warn '#{ $digits } is not a number.';
        @return $number;
    } @else if not unitless($digits) {
        @warn '#{ $digits } has a unit.';
        @return $number;
    }
    @for $i from 1 through $digits {
        $n: $n * 10;
    }
    @if $mode == round {
        @return round($number * $n) / $n;
    } @else if $mode == ceil {
        @return ceil($number * $n) / $n;
    } @else if $mode == floor {
        @return floor($number * $n) / $n;
    } @else {
        @warn '#{ $mode } is undefined keyword.';
        @return $number;
    }
}

/// Ceil a number to specified digits.
///
/// @param  {Number} $number - A number to round
/// @param  {Number} $digits [0] - Digits to output
/// @return {Number} - A ceiled number
/// @example SCSS
///     decimal-ceil(0.333)    => 1
///     decimal-ceil(0.333, 1) => 0.4
///     decimal-ceil(0.333, 2) => 0.34
///     decimal-ceil(0.666)    => 1
///     decimal-ceil(0.666, 1) => 0.7
///     decimal-ceil(0.666, 2) => 0.67
/// @author terkel
/// @link https://gist.github.com/terkel/4373420

@function decimal-ceil ($number, $digits: 0) {
    @return decimal-round($number, $digits, ceil);
}

/// Floor a number to specified digits.
///
/// @param  {Number} $number - A number to round
/// @param  {Number} $digits [0] - Digits to output
/// @return {Number} - A floored number
/// @example SCSS
///     decimal-floor(0.333)    => 0
///     decimal-floor(0.333, 1) => 0.3
///     decimal-floor(0.333, 2) => 0.33
///     decimal-floor(0.666)    => 0
///     decimal-floor(0.666, 1) => 0.6
///     decimal-floor(0.666, 2) => 0.66
/// @author terkel
/// @link https://gist.github.com/terkel/4373420

@function decimal-floor ($number, $digits: 0) {
    @return decimal-round($number, $digits, floor);
}